Results 1 to 3 of 3

Math Help - An interesting mean median mode problem :D

  1. #1
    Newbie
    Joined
    Nov 2010
    Posts
    2

    An interesting mean median mode problem :D

    A set of ten numbers has a range of 15 as well as a mean, median and
    mode of 15. Find the largest possible number in this set.

    thoughts ? O:
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,696
    Thanks
    1467
    This problem is not "well posed". If we asume that the set of n numbers can include negative numbers, then there is no largest possible number. I am going to assume that the ten "numbers" are, in fact, positive integers.

    Call the largest number "n". Suppose 15 occurs eight times so the mode is 15. We would need to have 1 numbers less than 15 and 1 number, n, larger than 15 so that median is also 15. The smallest positive integer would be 1. In order that the mean be 15 we would have to have 1+ 8(15)+ n= 10(15) so that n= 2(15)- 1= 29.

    If we assume that the 10 numbers can be any non-negative numbers, then the smallest number in the set would be 0 and we would have to have 0+ 8(15)+ n= 10(16) so that n= 2(15)= 30.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2010
    Posts
    2
    the range has to be 15 though, so there is a definite answer.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. mode/median
    Posted in the Statistics Forum
    Replies: 1
    Last Post: July 26th 2010, 05:35 PM
  2. Mean, Mode, Median Help!
    Posted in the Statistics Forum
    Replies: 1
    Last Post: March 31st 2010, 11:14 AM
  3. mean,median,mode etc.
    Posted in the Advanced Statistics Forum
    Replies: 4
    Last Post: June 20th 2009, 07:47 PM
  4. mean, median, mode help please!
    Posted in the Statistics Forum
    Replies: 2
    Last Post: March 29th 2009, 05:36 PM
  5. mean, median, mode
    Posted in the Statistics Forum
    Replies: 2
    Last Post: October 22nd 2008, 04:56 AM

Search Tags


/mathhelpforum @mathhelpforum